LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 595/268, 927/860

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 595/268, 927/860 i.e 1/57620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/268, 927/860.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 595/268,927/860?

Given fractions are 595/268,927/860

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 595/268,927/860, numerators are 595,927

Denominators are 268,860

The GCF of 595,927 is 1 .

LCM of 268,860 is 57620.

The greatest common factor of 595/268,927/860 = [GCF of 595,927]/[LCM of 268,860]= 1/57620

Therefore, the GCF of 595/268,927/860 is 1/57620.

Greatest Common Factor of 595,927

To find the highest common factor of 595,927, we have to find the factors of both numbers and list the highest common factor.

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595

The factors of 927 are 1, 3, 9, 103, 309, 927

The HCF of 595,927 is 1.

Lets's calculate GCF of 595,927

Greatest Common Factor (GCF) of 595,927 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 595,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,927 By Matching Biggest Common Factor Method

Now, list down the factors of 595

:

1,5,7,17,35,85,119,595

Now, list down the factors of 927

:

1,3,9,103,309,927

Greatest Common Factor

We found the factors 595,927 . The biggest common factor number is the GCF number.
So the greatest common factor 595,927 is 1.

Lets's calculate LCM of 268,860

Lowest Common Multiple of 268,860 using Common Division

2 268, 860
2 134, 430
67, 215

∴ So the LCM of the given numbers is 2 x 2 x 67 x 215 = 57620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57620

Therefore, the GCF of Fractions 595/268,927/860 is 1/57620

Least Common Multiple of 268,860 with GCF Formula

Least Common Multiple of 268,860 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 268,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,860) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(268,860) x common factors =4 x 1 = 4

LCM(268,860) = ( 268 × 860 ) / 4

LCM(268,860) = 230480 / 4

LCM(268,860) = 57620


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 595/268, 927/860

1. What is the HCF of 595,927?

The HCF of 595,927 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 595/268, 927/860?

Answer: GCF of Numerators as per given numbers 595/268, 927/860 is

GCF of Numerators i.e. for 595,927 is 1

LCM of denominators i.e. for 268,860 is 57620.

Thus, GCF of Fractions is 1/57620.Finally, GCF of Fractions for 595/268, 927/860 is 1/57620.